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math.CO2010★ 6 cited
Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model
Hiroshi Mizukawa
A classical diffusion model of Ehrenfest which consists of -urns and -balls is realized by a finite Gelfand pair , where is the hyperoctahedral group a…
math.CO2010★ 16 cited
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Hiroshi Mizukawa
The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grü…